Home > Publications database > Study of pion-nucleon scattering up to 1.9 GeV through a coupled-channels meson-nucleon model |
Dissertation / PhD Thesis/Book | PreJuSER-37422 |
2003
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag
Jülich
Please use a persistent id in citations: http://hdl.handle.net/2128/225
Report No.: Juel-4015
Abstract: In the present work we study the $\pi$N induced reactions in a coupled-channels approach in the range of c.m. energies from the $\pi$N threshold up to 1.9 GeV. A meson-exchange model, which includes the channels $\pi$N, UN, as well as three effective $\pi \pi$N channels namely $\rho$N, $\pi \Delta$, and $\sigma$N is constructed. Within this framework we systematically investigate the background (non resonant) contributions in the elastic $\pi$N scattering for all partial waves with J $\le$ 3/2 and achieve a good agreement with the data at small energies having only a few free parameters. This background also proves to be consistent wich the data at higher energies, and this agreement allowed us to include a number of the N* and $\Delta$ resonances, and to describe the $\pi$N data in the whole energy range considered. Simultaneously, a reasonable agreement with the data is obtained for the total $\pi$N $\rightarrow$ $\rho$N and total and differential $\pi$N $\rightarrow$ $\eta$N transition cross sections. The importance of higher partial waves for those reactions is emphasized. The connection of the $\pi$N dynamics in the S$_{11}$ partial wave to the reaction $\pi$N $\rightarrow$ $\eta$N is discussed.
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